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Mary is 63.5 inches tall and her sister Tonya is 70 inches tall. Tonya wants to know how many inches taller she is than Mary. Which equation and solution can be used to solve this problem?

A. [tex]x + 70 = 63.5[/tex]: Subtract 70 from both sides. The answer is 6.5 inches.

B. [tex]63.5 + x = 70[/tex]: Subtract 63.5 from both sides. The answer is 6.5 inches.

C. [tex]x - 63.5 = 70[/tex]: Add 63.5 to the left side and subtract 63.5 from the right side. The answer is 6.5 inches.

D. [tex]63.5 - x = 70[/tex]: Subtract 63.5 from both sides. The answer is 6.5 inches.

Sagot :

GinnyAnswer
Let's find out how many inches taller Tonya is than Mary by examining each equation step-by-step.

### Examining Each Equation:

1. Equation: [tex]\( x + 70 = 63.5 \)[/tex]
- Subtract 70 from both sides:
[tex]\[ x + 70 - 70 = 63.5 - 70 \][/tex]
[tex]\[ x = -6.5 \][/tex]
- The answer here is [tex]\(-6.5\)[/tex] inches, which does not make sense in the context of this problem.

2. Equation: [tex]\( 63.5 + x = 70 \)[/tex]
- Subtract 63.5 from both sides:
[tex]\[ 63.5 + x - 63.5 = 70 - 63.5 \][/tex]
[tex]\[ x = 6.5 \][/tex]
- The answer here is [tex]\(6.5\)[/tex] inches, which makes sense. Tonya is 6.5 inches taller than Mary.

3. Equation: [tex]\( x - 63.5 = 70 \)[/tex]
- Add 63.5 to the left side and subtract 63.5 from the right side:
[tex]\[ x - 63.5 + 63.5 = 70 + 63.5 \][/tex]
[tex]\[ x = 133.5 \][/tex]
- The answer here is [tex]\(133.5\)[/tex] inches, which does not make sense in the context of this problem.

4. Equation: [tex]\( 63.5 - x = 70 \)[/tex]
- Subtract 63.5 from both sides:
[tex]\[ 63.5 - x - 63.5 = 70 - 63.5 \][/tex]
[tex]\[ -x = 6.5 \][/tex]
- Then, multiply both sides by [tex]\(-1\)[/tex]:
[tex]\[ x = -6.5 \][/tex]
- The answer here is [tex]\(-6.5\)[/tex] inches, which does not make sense in the context of this problem.

### Conclusion:
From the equations, the correct and logical solution comes from the equation [tex]\(63.5 + x = 70\)[/tex]. Subtracting 63.5 from both sides confirms that:

[tex]\[ x = 6.5 \][/tex]

Therefore, Tonya is 6.5 inches taller than Mary.
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